Well the answer would be $18.8784 but if you want it to be shorter it would be $18.88 because you multiply 17.48 and 0.08 and get 1.3984 and then you add it to $17.48
Answer:
Therefore it will take
s for the object to reach the ground.
Step-by-step explanation:
Given function is
H(t) = -64 t²+169.
where H is height in feet, and t is time in second.
When the object touches the ground, the height of the object will be zero.
i.e H(t) = 0.
Therefore
H(t) = 0
⇒ -64 t²+169=0
⇒ -64 t²= -169
![\Rightarrow t^2= \frac{-169}{-64}](https://tex.z-dn.net/?f=%5CRightarrow%20t%5E2%3D%20%5Cfrac%7B-169%7D%7B-64%7D)
![\Rightarrow t^2= \frac{169}{64}](https://tex.z-dn.net/?f=%5CRightarrow%20t%5E2%3D%20%5Cfrac%7B169%7D%7B64%7D)
[ square root both sides]
![\Rightarrow t=\pm\frac{13}{8}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%5Cpm%5Cfrac%7B13%7D%7B8%7D)
Time can not be negative.
Therefore ![t=\frac{13}{8} \ s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B13%7D%7B8%7D%20%5C%20s)
Therefore it will take
s for the object to reach the ground.
The two numbers are 41 & 37.
The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):
(x) + (x + 4) = 78
Now, we need to simplify it (combine like terms):
2x + 4 = 78
Then you can solve it like any other equation. Subtract 4 on both sides:
2x = 74
Divide by 2 on both sides:
x = 37.
So, now you know one number is equal to 37 and that the other is 37 + 4.
That's how you get 37 & 41.
The answer is 30 because 40% of 30 is 12